期刊名称：Vojnotehnicki glasnik / Military Technical Courier
印刷版ISSN：0042-8469
电子版ISSN：2217-4753
出版年度：2022
卷号：70
期号：1
页码：24-42
DOI：10.5937/vojtehg70-35303
语种：English
出版社：Ministry of defence of the Republic of Serbia: University of defence in Belgrade
摘要：Introduction/purpose: The aim of this paper is to present the concept of b(αn,βn) -hypermetric spaces. Methods: Conventional theoretical methods of functional analysis. Results: This study presents the initial results on the topic of b(αn,βn) - hypermetric spaces. In the first part, we generalize an n-dimensional (n ≥ 2) hypermetric distance over an arbitrary non-empty set X. The b(αn,βn) -hyperdistance function is defined in any way we like, the only constraint being the simultaneous satisfaction of the three properties, viz, non-negativity and positive-definiteness, symmetry and (αn, βn)-triangle inequality. In the second part, we discuss the concept of (αn, βn)- completeness, with respect to this b(αn,βn) -hypermetric, and the fixed point theorem which plays an important role in applied mathematics in a variety of fields. Conclusion: With proper generalisations, it is possible to formulate well-known results of classical metric spaces to the case of b(αn,βn) - hypermetric spaces.
